Question

Solve the system of two equations using elimination with multiplication.
4x−6y=−48
4
𝑥
−
6
𝑦
=
−
48

−2x+4y=30
−
2
𝑥
+
4
𝑦
=
30
(1 point)
Responses

(−3, 6)
(
−
3
,

6
)
left parenthesis negative 3 comma 6 right parenthesis

(3, 9)
(
3
,

9
)
left parenthesis 3 comma 9 right parenthesis

(−33,−9)
(
−
33
,
−
9
)
left parenthesis negative 33 comma negative 9 right parenthesis

(−21,−6)

Answer 1

Multiply the second equation by 2: -4x + 8y = 60. Add to the first equation:

(4x - 6y) + (-4x + 8y) = -48 + 60
2y = 12 → y = 6.

Substitute y = 6 into 4x - 6y = -48:
4x - 36 = -48 → 4x = -12 → x = -3.

Solution: (-3, 6).